__Category__: Algebra"Published in Newark, California, USA"

Find the value of a fraction whose numerator is 4 less than its denominator and which when added to ½ the value of the fraction gives a sum of

^{3}/

_{10}.

__Solution__:

The first thing that we have to do is to analyze the problem very well because we will interpret a word statement into a working equation.

Let x = be the denominator of the unknown fraction

x - 4 = be the numerator of the unknown fraction

From the word statement that "when added to ½ the value of the fraction gives a sum of

^{3}/

_{10}", the working equation will be

_{ }

_{}

_{}

_{}Multiply the both sides of the equation by their Least Common Denominator (LCD) which is 10x as follows

The numerator of the unknown fraction is 5 - 4 = 1.

The denominator of the unknown fraction is 5.

Therefore, the unknown fraction is

**.**

^{1}/_{5}__Check__: